{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"132acd836145919653b69a84067818759cb1fe338f292f0866b093993b9a89ad","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["9e82d2f0fb998c260c694e4c35621636cdbf9b6150f077fbb38200003a59d1bd","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"e1ac27caf966d10a7ae5b6329c40b7534cf5896cebb7c06dbf5043063acc9f1a","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.resurgence.adler-transseries","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"QCD predictions combine a divergent power series with small corrections from vacuum condensates. Whether this combination, properly resummed, is complete and unambiguous is unknown.","posed_since":"","precise":"For the Adler function $D(Q^2)$ of massless QCD, determine whether the perturbative series in $\\alpha_s(Q^2)$ together with OPE power corrections (condensates such as $\\langle \\alpha_s G^2\\rangle/Q^4$) forms a resurgent transseries whose median resummation equals the exact function, with each condensate uniquely defined once the summation prescription is fixed.","problem_ref":"9e82d2f0fb998c260c694e4c35621636cdbf9b6150f077fbb38200003a59d1bd","references":"","settled_by":"A proof in QCD or a controlled large-$N_{f}$ or lattice comparison showing the resummed transseries equals $D(Q^{2})$, or a counterexample term not captured by the OPE.","status_note":"","title":"Does QCD perturbation theory plus condensates resum to the exact answer?","topic_ref":null},"content_withheld":"false","files":[],"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"2fdeaf660f3c4504d0143a001fce1fbbd305017e8305fb8510c13879bb325fe6","schema":"pubphys.attested/1"},"id_token":null,"id_token_withheld":"false","envelope":{"attested_hash":"92ab0ef7e964d942889d57f11b5f37df7fdeceaafbe637609e8e2524dcf7d69f","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"6L5BAZbfRy-QWL7_xmGNV_j1J62Ou_oODrYRiSF2TKN-iO8pGfkbii9KbrkBXL9dTLTglHQJgsr02yEeCR6jCA"},"schema":"pubphys.envelope/1"},"ots":{"attested":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEIkqsO9-lk2UKInVfxG18333_ezqr75jdgno4lJNz31p_xIJKRw0vhcy_ZaWUHzGBin1AS0KEIhMTTAMBxetu-2DR6CPAgDHRac7zg9lvFo1kOAEWU4GlDxj1flYy4MiXk_Oi6ikoI8CDQCYEy9omPHTtPGvAiHniePoNwlZychbvlA-xfcowIMQjwIMdqVZSsgh8BdUcn2wnjNf11PbA4_tF70asvC_kqLH_UCPEga7BlGpjKXlb7HmubRkNsUgVwDRFLJdVohFxnILL8iQwI8SA6pXa7R7fxwjSPCucPYyAtfhqWPpPgpuSfDSwC9HSe9gjwIC_Gba7HRql5FYyT9X5PObagnwcrViXVIuGyziSpunbtCPEgk0jawVpf5QClliidHPo8W5ZfByRzF4yUE2LGRzo296cI8SA2AWlsr6OtzkJEYtRd4vkA1WvJDOR5VTRovvQJKclq5QjxICknnLxa8xs8qmAdhtb0NnANbtwYyrlRTgqcMVLLl8ogCPEgHd9u6OIGCvUV12A1B1xdiOprSJ-4w0cqwfe7CzVX5HsI8CDQo_sIWZiWXaTGRSQBLmU-lHJKskYKqsjO1r02DhB8LAj_8Ajn9YmozHwo9QjwEJ46aM9ZDv3TdtqV3ZbRsNgI8SBOF8pILGf1kodr5MKmQs6Cd93joraGn3g6UPt_-kewPwjwIOG-gmM7bd_eR4AiDMNfluS3xvr7vicLR-sCBr5qtG2cCPAgrVNFrCoeQcCxhlmnE0BzHgR8HQpZAlfqzDDFzfWb8GUI8QRq0WWT8AjZJ2cF_c7k8ACD3-MNLvkMjiwraHR0cHM6Ly9ib2IuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZ_AI9ZMS1zxd7IEI8BDd00WgJZ0RncsC1Fyai_4aCPEgvxMFrnu7F05IW5INiraQ3OVEYMjNx6JfBxw1Q4jPLi4I8QRq0WWS8Ag2zxPAtI5JsP8Ag9_jDS75DI4uLWh0dHBzOi8vYWxpY2UuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZwjxIHAnv4KFFf4uiYEFJvLxiMxSyz8VowJP4roTfDD9h7bICPAgj5tgvbNF7mxSP4jGGE66ezUFRLnI4g1VTkvuV4VtCPAI8CCxlc1HuKORuHgn7DYIYcDhc4oo99OkTWBEvddBypoa7AjwIFcjjaF8kDNDYCZGaNISlRjvX-I7in-QNwsr4JYQbFJvCPAgnl0k4gs7LuY5i1umiHO-J7My3uBThLJUWQoY9LdVSrQI8SA6-Ft11_K_GqMNWYhkVsVqCFvXSYbp4S8JoLsLBnUzvgjxIBC8_mAE7JBP35SNxDBcG7joLJwURpMxdV2vSO64_jEOCPEge04Coj1xSi7CE8UwqiBGNhPyZ5QdD_YZwn-heSdObU4I8SBgdDSgr3VUx1j8m_pK7-OzMwwFgXeLy43ujffCv-hf5AjwIMl-PnAt4xjoBEVU4-nkyN0NKRa9AvX4kEMfllFyIJS9CPFZAQAAAAHz4rV-uwQFg02bVnEMUFgpIdGKjM4tWuID1kTVnrjisAAAAAAA_v___wJURAIAAAAAABYAFBFys2oc0-U-bYrC3VulGLzND5fbAAAAAAAAAAAiaiDwBHLTDgAICPEgMJIBYi46xOIuFDwzJ9nOx14ngW5HbglUf65ORpkoIYcICPAgHgGWEGCDHWgscwT92NOoJ7s-ezbPkyiWr2RnYZDC_dwICPAgtffMyyLu-MscJsDc0dzwGspwSrrmvVAnMNgsgWhHClgICPAgMUl1OfBDUwhp5VZjHwVA0nuz1F5HZTUJCHAnM1L1F3MICPAgStK7UWpnrUueV5EaE7uE0y6BLMp6EANmrbhrTqEBZu8ICPAg5LVW7IHtUL5mNOvPx1hOTfLMmqlQ7t9EFW-KDtrISIQICPAgABgXZ6upFU8qiDQKFtQFpqkjKwl0PsxM4JUjVLlDKbkICPAgEwb96FiOhjlbwI8GFZQ4a5GXwxs4bUdqVOMKrtBWV30ICPEgqBg-wp0c8CAPV9k6J7wIa9_GtQfpWmhpE1zqFZyi2pQICPAg2pZLTVPGJbriiz0UhMytYDVYAXOgQnWDcrMOewK9O8cICPEgxm3QwzbvT4siJzubQGnST67bWv-exYwSPP1KDi7CaUwICPEgm6udUudfjUaM0gUFTylKGDMypj7ptMTG0zmxd_T5yTcICPAgMpOInkjFCVp1pOZhfZnyPAl8hdWGmHzQcrGLgLwSKLgICAAFiJYNc9cZAQPzpjs"],"envelope":["AE9wZW5UaW1lc3RhbXBzAABQcm9vZgC_ieLohOiSlAEISbelP8Z8SdrK0vFpZLzF6d9N7iXjGLXpMUgWESws4vjxIEmgfnUWxITqkkToY-OokAn9C2j1f1WHSrkesF4rTMLwCPAgZ_ygQJJzzjJnqgyhXickAeipQdkyFxM7FqEUMGcxjNUI8CAiN_qcLpvEiNEUvbUzJm_rqaeCMoHDEpFGoK6PpUEKDwjxIJUhKeFTIxg85T2As27jBqX5g6gHtvNUNlBWcXJSyrkrCPAgZ4dFGNIhYNlMOS0taNSFkf3h6iTcP4NxV_e1gLYiFW8I8CCIYzcOtT0KU7CwKxf-qN6HpRjmYBA6v17HvIB0XqhiiwjxIBhB27X2sRsQbro8Joy-wdFNSVpVeMYyKR4AYna50JaDCPEgY6scDRpMTELRyAdQzoM_M72JG6gtvT5rKuV0H9Htq4AI8SDYW1nvfhAbf15fxYweLGiGtYK21xyRv_zJHX5DdVcU4wjxIJdQdDsL3v2lA7qZb8kMJtOgaTQmbgchdPcS5lYJqDLnCPAgkPXX-naXR0fRIdS-sEDlzYmtMvSCNH42ESUF0QXb6NUI8CDQo_sIWZiWXaTGRSQBLmU-lHJKskYKqsjO1r02DhB8LAj_8Ajn9YmozHwo9QjwEJ46aM9ZDv3TdtqV3ZbRsNgI8SBOF8pILGf1kodr5MKmQs6Cd93joraGn3g6UPt_-kewPwjwIOG-gmM7bd_eR4AiDMNfluS3xvr7vicLR-sCBr5qtG2cCPAgrVNFrCoeQcCxhlmnE0BzHgR8HQpZAlfqzDDFzfWb8GUI8QRq0WWT8AjZJ2cF_c7k8ACD3-MNLvkMjiwraHR0cHM6Ly9ib2IuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZ_AI9ZMS1zxd7IEI8BDd00WgJZ0RncsC1Fyai_4aCPEgvxMFrnu7F05IW5INiraQ3OVEYMjNx6JfBxw1Q4jPLi4I8QRq0WWS8Ag2zxPAtI5JsP8Ag9_jDS75DI4uLWh0dHBzOi8vYWxpY2UuYnRjLmNhbGVuZGFyLm9wZW50aW1lc3RhbXBzLm9yZwjxIHAnv4KFFf4uiYEFJvLxiMxSyz8VowJP4roTfDD9h7bICPAgj5tgvbNF7mxSP4jGGE66ezUFRLnI4g1VTkvuV4VtCPAI8CCxlc1HuKORuHgn7DYIYcDhc4oo99OkTWBEvddBypoa7AjwIFcjjaF8kDNDYCZGaNISlRjvX-I7in-QNwsr4JYQbFJvCPAgnl0k4gs7LuY5i1umiHO-J7My3uBThLJUWQoY9LdVSrQI8SA6-Ft11_K_GqMNWYhkVsVqCFvXSYbp4S8JoLsLBnUzvgjxIBC8_mAE7JBP35SNxDBcG7joLJwURpMxdV2vSO64_jEOCPEge04Coj1xSi7CE8UwqiBGNhPyZ5QdD_YZwn-heSdObU4I8SBgdDSgr3VUx1j8m_pK7-OzMwwFgXeLy43ujffCv-hf5AjwIMl-PnAt4xjoBEVU4-nkyN0NKRa9AvX4kEMfllFyIJS9CPFZAQAAAAHz4rV-uwQFg02bVnEMUFgpIdGKjM4tWuID1kTVnrjisAAAAAAA_v___wJURAIAAAAAABYAFBFys2oc0-U-bYrC3VulGLzND5fbAAAAAAAAAAAiaiDwBHLTDgAICPEgMJIBYi46xOIuFDwzJ9nOx14ngW5HbglUf65ORpkoIYcICPAgHgGWEGCDHWgscwT92NOoJ7s-ezbPkyiWr2RnYZDC_dwICPAgtffMyyLu-MscJsDc0dzwGspwSrrmvVAnMNgsgWhHClgICPAgMUl1OfBDUwhp5VZjHwVA0nuz1F5HZTUJCHAnM1L1F3MICPAgStK7UWpnrUueV5EaE7uE0y6BLMp6EANmrbhrTqEBZu8ICPAg5LVW7IHtUL5mNOvPx1hOTfLMmqlQ7t9EFW-KDtrISIQICPAgABgXZ6upFU8qiDQKFtQFpqkjKwl0PsxM4JUjVLlDKbkICPAgEwb96FiOhjlbwI8GFZQ4a5GXwxs4bUdqVOMKrtBWV30ICPEgqBg-wp0c8CAPV9k6J7wIa9_GtQfpWmhpE1zqFZyi2pQICPAg2pZLTVPGJbriiz0UhMytYDVYAXOgQnWDcrMOewK9O8cICPEgxm3QwzbvT4siJzubQGnST67bWv-exYwSPP1KDi7CaUwICPEgm6udUudfjUaM0gUFTylKGDMypj7ptMTG0zmxd_T5yTcICPAgMpOInkjFCVp1pOZhfZnyPAl8hdWGmHzQcrGLgLwSKLgICAAFiJYNc9cZAQPzpjs"]},"log":{"leaf_index":"3664","tree_size":"3804","proof":["d597eec4bf2ccbe9e4d6e3a8a85455e6a2bd903a924254fa94235e921e1ef529","7d3c9d3ae3756908ee64778cf0e5ecf3f2f1be3a9fc1183a4b3915a6c877165c","99cff63428b25f582c33ea2a7e8bf3b8ef7532dc197ab0cb7b064f484ec1d249","8d7692c4ce6e01504a87d1ff28498c0a186e152bf9ef74fa7aa1b5fd24cc8b85","378b28349357f2eb1ebe8669f4fa95cdbd0c3aa637a2383b93185223de1f861e","77508ae5544183dc553aa3a5aa22bea9bbe6bb9d5f2a39da9f04d3a06b7f5d03","f50866df3e981d10bae13538ff88662a6960f06eee522c24d97d985a8d62cfb4","7e66314356025dfb23c19ffcc67687562cd0a92ea70016b1a2cc4b92f84380b0","e55158332fc5066d8199fad50d3929c561e805c1a4826619f59cd2254d322eb8","af34d80d0065c0ab502282775e865492e2cb49c9493f4594d63ba5577922854a","3c578dccc15502c5f3efe228cadc99fee76ab536ed01f66b14d316fdcc157429"],"checkpoint":"pubphys.com/log/v1\n3804\nAK6t4qgu96+M9wScTrIlsJ10d/zhKVEtYguyM3aeJvo=\n\n— pubphys.com/log/v1 JFPwIPP8EtoxgcsQg7V7CwIdL4UKPqJtpv+eB8sFNJjyQHIdyA1VabmBsPyLqq2bLxJPn57rA6fQi8y0QDDjRXHvlQg=\n","promise":"pubphys.com/log/v1 promise\nf1d4f34e952479a54708f08865bc27697dd38cafe6a409c98183fdb0fba4c42d\n3664\n2026-10-15T23:43:57Z\n2026-10-16T01:43:57Z\n\n— pubphys.com/log/v1 JFPwIGNMe2DCxQscbPddOilNEE7WyLIv1VaLWnCfnKQWkQ3VarnT+W9mYQjSnUdhPJu+26f0ED2AbJ73qcjgp4iRYQQ=\n"},"orcid_key_evidence":[],"attesting":null}